基于多决策变量协同设计的供水管网多目标优化模型研究

Research on multi-objective optimization model of water supply network based on collaborative design of multiple decision variables

在城镇供水管网设计中,管线布置和管径搭配是影响工程经济性和可靠性的重要因素。为提升管网设计的整体优化水平,以管线布置和管径搭配共同作为决策变量,选用"管网建造费用"作为经济性目标函数,选用"管网管段压力均值"、"管网恢复力"和"枝状管流量和"作为管网可靠性目标函数,建立供水管网多目标优化设计模型。使用MATLAB平台搭载EPANET2动态链接库,采用改进的非支配排序多目标遗传算法(NSGA-Ⅱ)求解模型得到帕累托(Pareto)前沿解集,并使用多标准优化和妥协解决方案(VIKOR)法选出最优折衷设计方案。最后以广东省某城镇供水管网设计为例进行验证,得到的前沿解集在多维目标空间中分布均匀,且选出的最优折衷方案综合效益良好,证明了供水管网管线布置和管道尺寸协同设计的科学性和有效性。

In the design of urban water supply network, pipeline layout and pipe diameter are important factors affecting the economic and reliability of the project. In order to improve the overall optimization level of the pipe network design, pipeline layout and the pipe diameter are combined as the decision variables, 'pipe network construction cost' as the economic objective function, and select 'pipe network pipe pressure mean', 'pipe network resilience' and 'sum flow of branch pipe' as the pipe network reliability objective function, to establish a multi-objective optimization design model of the water supply network. On the MATLAB platform with the EPANET2 dynamic link library, use the improved non-dominated sorting multi-objective genetic algorithm(NSGA-Ⅱ) to solve the model and obtain the Pareto frontier solution set, then use Vlsekriterijumska Optimizacija I Kompromisno Resenje(VIKOR) method to choose the optimal compromise design. Finally, the design of a water supply network in a certain town in Guangdong Province is taken as an example to verify that the obtained front-end solution set is evenly distributed in the multi-dimensional target space, and the selected optimal compromise scheme has good comprehensive benefits, which proves the scientific and effective design of water supply pipe network pipeline layout and pipeline diameter collaborative design.